33420331134140 has 96 divisors (see below), whose sum is σ = 74983987237824. Its totient is φ = 12467887308800.

The previous prime is 33420331134133. The next prime is 33420331134193. The reversal of 33420331134140 is 4143113302433.

It is a happy number.

It is a super-2 number, since 2×33420331134140² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33420331134097 and 33420331134106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193973312 + ... + 194145528.

It is an arithmetic number, because the mean of its divisors is an integer number (781083200394).

Almost surely, 2^{33420331134140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33420331134140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37491993618912).

33420331134140 is an abundant number, since it is smaller than the sum of its proper divisors (41563656103684).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33420331134140 is a wasteful number, since it uses less digits than its factorization.

33420331134140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177407 (or 177405 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 33420331134140 its reverse (4143113302433), we get a palindrome (37563444436573).

The spelling of 33420331134140 in words is "thirty-three trillion, four hundred twenty billion, three hundred thirty-one million, one hundred thirty-four thousand, one hundred forty".